Devise a Newton iteration formula for computing R^(1/3) where R > 0. Perform a graphical analysis of your function f(x) to determine the starting values for which the iteration will converge. I found the newton iteration to be Xn+1 = (2/3)Xn + (R/3)Xn^2. How do I find the starting values graphically?

Devise a Newton iteration formula for computing R^(1/3) where R > 0. Perform a graphical analysis of your function f(x) to determine the starting values for which the iteration will converge. I found the newton iteration to be Xn+1 = (2/3)Xn + (R/3)Xn^2. How do I find the starting values graphically?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 30AR: Determine dimension x to 3 decimal places.

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